Least Common Multiple of 4325/897, 2000/9734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4325/897, 2000/9734 quickly i.e. 346000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4325/897, 2000/9734 is 346000.

LCM(4325/897, 2000/9734) = 346000

LCM of 4325/897, 2000/9734

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 4325/897,2000/9734

Given numbers are 4325/897,2000/9734

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 4325,2000

Least Common Multiple of Numerators i.e. LCM of 4325,2000 is 346000.

GCF of Denominators means GCF of 897,9734 as per the given fractions.

GCF of 897,9734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4325,2000

LCM of Fractions 4325/897,2000/9734 is 346000

5 4325, 2000
5 865, 400
173, 80

∴ So the LCM of the given numbers is 5 x 5 x 173 x 80 = 346000

Least Common Multiple of 4325,2000 with GCF Formula

Least Common Multiple of 4325,2000 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 4325,2000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4325,2000) = 25

common factors(in case of two or more numbers have common factors) = 1

GCF(4325,2000) x common factors =25 x 1 = 25

LCM(4325,2000) = ( 4325 × 2000 ) / 25

LCM(4325,2000) = 8650000 / 25

LCM(4325,2000) = 346000


Lets's calculate GCF of 897,9734

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 346000/1

Therefore the LCM of Fractions 4325/897,2000/9734 is 346000

Greatest Common Factor of 897,9734 By Matching Biggest Common Factor Method

Greatest Common Factor of 897,9734 By Matching Biggest Common Factor Method

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Factors of 9734

List of positive integer factors of 9734 that divides 9734 without a remainder.

1,2,31,62,157,314,4867,9734

Greatest Common Factor

We found the factors 897,9734 . The biggest common factor number is the GCF number.
So the greatest common factor 897,9734 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4325/897, 2000/9734

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 4325/897, 2000/9734?

Answer: LCM of Numerators as per given numbers 4325/897, 2000/9734 is

LCM of Numerators i.e. for 4325,2000 is 346000

GCF of denominators i.e. for 897,9734 is 1.

Thus, LCM of Fractions is 346000.Finally, LCM of Fractions for 4325/897, 2000/9734 is 346000.